Question

Consider the functions. How do the graphs of these function compare to one another? (In picture)

Answer 1

Refer to the Graph above. Hope this helps you, and, Happy New Year!

Answer 2

Answer: True, False, True

Explanation:

To determine steepness, compare the coefficients of each function:

f(x) = 4x² coefficient is: 4

g(x) =
`(15)/(4)x^2` coefficient is: 4.75

h(x) =
`(4)/(15)x^2` coefficient is: 0.27

f(x) ??? h(x)

4 > 0.27

f(x) is steeper than h(x)

h(x) ??? g(x)

0.27 < 4.75

h(x) is LESS steep than g(x)

g(x) ??? f(x)

4.75 > 4

g(x) is steeper than f(x)